КФУ. Карточка публикации. Quadrature formulas for calculating the hadamard integral of a special form

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QUADRATURE FORMULAS FOR CALCULATING THE HADAMARD INTEGRAL OF A SPECIAL FORM

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2017

Язык

английский

Авторы, сотрудники КФУ

Воронцова Валерия Леонидовна, автор

Библиографическое описание на языке оригинала

Galimyanov, A.F., Vorontsova, V.L., Gilemzyanov, A.F., Gorskay, T.Y. Quadrature formulas for calculating the hadamard integral of a special form.International journal of Pharmacy and Technology. -Vol.6,Is.4,- P. 24169- 24181.

Аннотация

Currently, the issues related to finding solutions to some economic problems, such as problems pertaining to the queuing systems are of great interest. These problems, in turn, result in, inter alia, the need to calculate the Hadamard integrals of a special form. The study includes the construction of an optimal quadrature formula for the approximate solution to the Hadamard integral of a special form; such formula is selected depending on the singularities of integrals. This is because of the fact that an error of the quadrature formula for a hypersingular integral is a point function of any singularity. There is a movable singularity, when parameters of the quadrature formula do not depend on the singularity's position, and a fixed singularity, when the quadrature formula nodes are the singularity's point functions. In this way, choice of the quadrature formula nodes depends on the choice of singularities.

Ключевые слова

Hadamard integrals; Optimization; Quadrature formulas

Название журнала

International journal of Pharmacy and Technology

URL

https://www.scopus.com/record/display.uri?eid=2-s2.0-85018209300&origin=SingleRecordEmailAlert&dgcid=scalert_sc_search_email&txGid=B55D7AE4F4EB9D62575504C00BA5ADAD.wsnAw8kcdt7IPYLO0V48gA%3a6

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https://repository.kpfu.ru/?p_id=157458

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Воронцова Валерия Леонидовна	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Galimyanov, A.F., Vorontsova, V.L., Gilemzyanov, A.F., Gorskay, T.Y. Quadrature formulas for calculating the hadamard integral of a special form.International journal of Pharmacy and Technology. -Vol.6,Is.4,- P. 24169- 24181.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=157458	ru_RU
dc.description.abstract	International journal of Pharmacy and Technology	ru_RU
dc.description.abstract	Currently, the issues related to finding solutions to some economic problems, such as problems pertaining to the queuing systems are of great interest. These problems, in turn, result in, inter alia, the need to calculate the Hadamard integrals of a special form. The study includes the construction of an optimal quadrature formula for the approximate solution to the Hadamard integral of a special form; such formula is selected depending on the singularities of integrals. This is because of the fact that an error of the quadrature formula for a hypersingular integral is a point function of any singularity. There is a movable singularity, when parameters of the quadrature formula do not depend on the singularity's position, and a fixed singularity, when the quadrature formula nodes are the singularity's point functions. In this way, choice of the quadrature formula nodes depends on the choice of singularities.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Quadrature formulas for calculating the hadamard integral of a special form	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU